Possesses note that’s made by one in a hurry? (5)
I believe the answer is:
haste
'one in a hurry?' is the definition.
(I've seen this before)
'possesses note that's made by' is the wordplay.
'possesses' becomes 'has' ('have' can be a synonym of 'possess').
'note' becomes 'te' (musical note).
'that's made by' says to put letters next to each other (letters written or made by another set of letters).
'has'+'te'='HASTE'
(Other definitions for haste that I've seen before include "Possible cause of careless mistakes?" , "More of this can slow you up!" , "Expedition" , "go at speed" , "Urgent hurry" .)